Floquet-engineered Emergent Massive Nambu-Goldstone Modes

We present a general framework to implement massive Nambu-Goldstone quasi-particles in driven many-body systems. The underlying mechanism leverages an explicit Lie group structure imprinted into an effective Hamiltonian that governs the dynamics of slow degrees of freedom; the resulting emergent con...

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Bibliographic Details
Published in:arXiv.org 2024-09
Main Authors: Hou, Yang, Fu, Zhanpeng, Moessner, Roderich, Marin Bukov, Zhao, Hongzheng
Format: Article
Language:English
Subjects:
Broken symmetry
Dynamic structural analysis
Elementary excitations
Excitation spectra
Group dynamics
Lie groups
Spin dynamics
Wave dispersion
Online Access:Get full text
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Summary:We present a general framework to implement massive Nambu-Goldstone quasi-particles in driven many-body systems. The underlying mechanism leverages an explicit Lie group structure imprinted into an effective Hamiltonian that governs the dynamics of slow degrees of freedom; the resulting emergent continuous symmetry is weakly explicitly broken, giving rise to a massive Nambu-Goldstone mode, with a spectral mass gap scaling linearly with the drive period. We discuss explicit and experimentally implementable realizations, such as Heisenberg-like spin models that support gapped spin-wave excitations. We provide a protocol to certify the existence of the massive Nambu-Goldstone mode from the dynamics of specific observables, and analyse the dispersion spectrum and their lifetime in the presence of weak explicit symmetry breaking.
ISSN:2331-8422